Global Solution to the Three-Dimensional Incompressible Flow of Liquid Crystals

被引：74

作者：

Hu, Xianpeng ^{[1
]}

Wang, Dehua ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 296卷 / 03期

基金：

美国国家科学基金会;

关键词：

REGULARITY; EQUATIONS;

D O I：

10.1007/s00220-010-1017-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved that when the strong solution exists, all the global weak solutions constructed in [16] must be equal to the unique strong solution.

引用

页码：861 / 880

页数：20

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